Interpret the given confidence interval. A grocery store is interested in determining whether or not a difference exists between the shelf life of Hot'n Now doughnuts and Sugar Yum doughnuts. A random sample of 100 boxes of each brand was selected and the mean shelf life in days was determined for each brand. A 90% confidence interval for the difference of the means, Phn - Hsy, was determined to be (1.1, 2.4). There is a 90% chance that a randomly selected box of Hot'n Now doughnuts will have a shelf life that is between 1.1 and 2.4 days longer than a randomly selected box of Sugar Yum doughnuts. Since the values in the confidence interval are positive, the probability that the mean shelf life of Sugar Yum doughnuts is longer than the mean shelf life of Hot'n Now doughnuts is 90%. Based on this sample, we are 90% confident that Hot'n Now doughnuts will last on average between 1.1 and 2.4 days longer than Sugar Yum doughnuts. Since the values in the confidence interval are positive, the probability that the mean shelf life of Hot'n Now doughnuts is longer than the mean shelf life of Sugar Yum doughnuts is 90%. Based on this sample, we are 90% confident that Sugar Yum doughnuts will last on average between 1.1 and 2.4 days longer than Hotn Now doughnuts.

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11.8 Question2

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